摘要
基于区域分解技巧,提出了一种求解定常Navier-Stokes方程的并行两水平有限元方法.该方法首先在一粗网格上求解Navier-Stokes方程,然后在细网格的子区域上并行求解粗网格解的残差方程,以校正粗网格解.该方法实现简单,通信需求少.使用有限元局部误差估计,推导了并行方法所得近似解的误差界,同时通过数值算例,验证了其高效性.
Based on domain decomposition,a parallel two-level finite element method for the stationary Navier-Stokes equations was proposed and analyzed.The basic idea of the method was to first solve the Navier-Stokes equations on a coarse grid,then to solve the resulted residual equations in parallel on a fine grid.This method has low communication complexity.It can be implemented easily.By local a priori error estimate for finite element discretizations,error bounds of the approximate solution were derived.Numerical results were also given to illustrate the high efficiency of the method.
出处
《应用数学和力学》
EI
CSCD
北大核心
2010年第11期1351-1359,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(11001061)
贵州省科学技术基金资助项目(2008(2123))
